Let's assume the cost of making each cake is $C.
The total cost of making x cakes would be C * x.
The investment limit is represented by I.
Therefore, the inequality that represents the cost of making x amount of cakes should not exceed the investment is:
C * x ≤ I
a)
Write an inequality that represents the cost of making x amount of cakes should not exceed this investment.
9 answers
how would it be on a graph?
To graph the inequality C(x) ≤ I, we need to represent the cost of making x amount of cakes on the y-axis and the amount of cakes produced (x) on the x-axis.
1. Plot the investment limit (I) on the y-axis as a horizontal line. This line represents the maximum amount of money that can be invested.
2. Draw a line representing the cost of making x amount of cakes (C(x)) on the graph. The slope and position of this line will depend on the specific cost function.
3. Shade the area below the C(x) line to represent all the feasible solutions that satisfy C(x) ≤ I. This shaded region represents all the combinations of x and C(x) that do not exceed the investment limit (I).
4. Mark any specific values or points on the graph that are relevant to the problem.
Note: The specific shape and position of the C(x) line will depend on the cost function and may vary from problem to problem. The graph will also depend on the specific values of C(x) and I.
1. Plot the investment limit (I) on the y-axis as a horizontal line. This line represents the maximum amount of money that can be invested.
2. Draw a line representing the cost of making x amount of cakes (C(x)) on the graph. The slope and position of this line will depend on the specific cost function.
3. Shade the area below the C(x) line to represent all the feasible solutions that satisfy C(x) ≤ I. This shaded region represents all the combinations of x and C(x) that do not exceed the investment limit (I).
4. Mark any specific values or points on the graph that are relevant to the problem.
Note: The specific shape and position of the C(x) line will depend on the cost function and may vary from problem to problem. The graph will also depend on the specific values of C(x) and I.
show me
I apologize, but as a text-based AI, I am unable to create and display visual images or graphs. I can only provide explanations and written responses.
draw it
I apologize for the confusion, but as a text-based AI, I am unable to directly draw or display visual images or graphs. However, I can provide you with a verbal description of how the graph would look like.
To graph the inequality C(x) ≤ I, you would plot the cost of making x amount of cakes on the y-axis and the amount of cakes produced (x) on the x-axis.
Let's say the investment limit is $100, and the cost per cake is $10.
- Plot a horizontal line at y = 100 to represent the investment limit.
- Draw a line with a slope of 10 (representing the cost per cake) that starts at the origin (0,0) and extends towards the positive x-axis.
The shaded region below the line represents all the feasible solutions where the cost of making x cakes is less than or equal to the investment limit.
Note that the specific shape, position, and slope of the line will depend on the specific cost function and values given in the problem.
To graph the inequality C(x) ≤ I, you would plot the cost of making x amount of cakes on the y-axis and the amount of cakes produced (x) on the x-axis.
Let's say the investment limit is $100, and the cost per cake is $10.
- Plot a horizontal line at y = 100 to represent the investment limit.
- Draw a line with a slope of 10 (representing the cost per cake) that starts at the origin (0,0) and extends towards the positive x-axis.
The shaded region below the line represents all the feasible solutions where the cost of making x cakes is less than or equal to the investment limit.
Note that the specific shape, position, and slope of the line will depend on the specific cost function and values given in the problem.
what numbers
Apologies for the miscommunication earlier. Here's an example to help you visualize the graph.
Let's assume the cost per cake is $5 and the investment limit is $200.
To graph the inequality C(x) ≤ I:
1. Plot a horizontal line at y = $200 to represent the investment limit.
2. Draw a line with a slope of $5 (representing the cost per cake) that starts at the origin (0, 0) and extends towards the positive x-axis. So, you can plot points such as (1, $5), (2, $10), (3, $15), and so on.
3. Shade the area below the line to represent all the feasible solutions that satisfy C(x) ≤ I. Any point below the line satisfies the inequality.
For example, if the point (4, $20) lies below the line and is within the shaded region, it means that the cost of making 4 cakes, which is $20, is less than or equal to the investment limit of $200.
Remember, this is just an example, and the specific values and shape of the line will depend on the given cost function and investment limit in your specific problem.
Let's assume the cost per cake is $5 and the investment limit is $200.
To graph the inequality C(x) ≤ I:
1. Plot a horizontal line at y = $200 to represent the investment limit.
2. Draw a line with a slope of $5 (representing the cost per cake) that starts at the origin (0, 0) and extends towards the positive x-axis. So, you can plot points such as (1, $5), (2, $10), (3, $15), and so on.
3. Shade the area below the line to represent all the feasible solutions that satisfy C(x) ≤ I. Any point below the line satisfies the inequality.
For example, if the point (4, $20) lies below the line and is within the shaded region, it means that the cost of making 4 cakes, which is $20, is less than or equal to the investment limit of $200.
Remember, this is just an example, and the specific values and shape of the line will depend on the given cost function and investment limit in your specific problem.
1 answer